This deliverable presents the final version of the MUSA Modeller solution which supports the modelling of multi-cloud applications taking into account their security concerns. The MUSA Modeller enables: (a) the multi-cloud secure application components design and (b) declaring MUSA security agents to use with the application components. The document is the technical report that accompanies the final software prototype of the MUSA Modeller that has been designed and developed following the architecture and implementation described herein. Note that the final version of the MUSA Dashboard for the integrated MUSA Framework is described in deliverable D1.4 Final MUSA framework specification and guide, and the final version of the SLA Generator that supports the Security SLA specification and composition is described in deliverable D2.3 Final SbD methods for multi-cloud applications.